Finding the Third Proportional to 16,749 and 25,340

Step by Step Solution

1. Step 1: Write the proportion equation
   16,749 : 25,340 = 25,340 : x
2. Step 2: Convert to fraction form
   16,749/25,340 = 25,340/x
3. Step 3: Cross multiply
   16,749x = 25,340 × 25,340
4. Step 4: Simplify right side
   16,749x = 642,115,600
5. Step 5: Solve for x
   x = 642,115,600/16,749
6. Step 6: Final answer
   x = 38,337.55